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Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

  • Book
  • © 2019

Overview

Authors:
  1. Silvestru Sever Dragomir

    1. Department of Mathematics, College of Engineering and Science, Victoria University, Melbourne, Australia

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  • Presents recent research on Kato's inequality for the benefit of a large class of researchers working on operator inequalities
  • Provides complete proofs of the main results that will allow researchers to try and extend Kato's inequality for semi-inner products in Banach spaces
  • Shows clear applications for numerical radius and norm inequalities to give the readers the possibility to compare them with other similar results
  • Gives extensions of Kato's inequality for functions of operators that will allow scientists to look for extensions to more general functional calculus than the continuous functional calculus

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Silvestru Sever Dragomir
    Pages 1-3

  3. Inequalities for n-Tuples of Operators

    • Silvestru Sever Dragomir
    Pages 5-59

  4. Generalizations of Furuta’s Type

    • Silvestru Sever Dragomir
    Pages 61-86

  5. Trace Inequalities

    • Silvestru Sever Dragomir
    Pages 87-108

  6. Integral Inequalities

    • Silvestru Sever Dragomir
    Pages 109-124

  7. Back Matter

    Pages 125-126
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Keywords

About this book

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.

Authors and Affiliations

  • Department of Mathematics, College of Engineering and Science, Victoria University, Melbourne, Australia

    Silvestru Sever Dragomir

Bibliographic Information

  • Book Title: Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

  • Authors: Silvestru Sever Dragomir

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-17459-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

  • Softcover ISBN: 978-3-030-17458-3Published: 28 May 2019

  • eBook ISBN: 978-3-030-17459-0Published: 24 May 2019

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: X, 126

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Functional Analysis

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